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"Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line."

YXZ and TUS

I believe it is A and C.

There are 6 slots on the wheel, so both the numbers in A and E can be divided/multiplied to fit this criterion.  For example, 3 times 2 is 6 (the number of gender slots) and 1 times 2 is two, so two out of 6 art teachers will be female.

I hope this helps!!!

Answer:

Sue has traveled 124 miles.

Step-by-step explanation:

Here, the distance covered by Sue is a fraction of the total distance to be covered.

The total distance to her aunt's = 372 miles

but the gas station is at one-third of the distance to be covered.

Thus,

Miles traveled by Sue = [tex]\frac{1}{3}[/tex] x 372

                                    = 124

Miles traveled by Sue = 124 miles.

Therefore Sue has traveled 124 miles.

Answer:

$117.25

Step-by-step explanation:

To solve, multiply the interest by the total amount in savings.

You can calculate simple interest in a savings account by multiplying the account balance by the interest rate by the time period the money is in the account. Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance).

Brenda get $117.25 as interest from her bank.

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. With the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

Brenda learned that her bank would pay her 5% on her money in her savings account if she had at least $1,000 in it.

Brenda had $2,345 in her savings account.

So, the interest Brenda get

= 2345 x 5/ 100

= 2345 x 0.05

= $117.25

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Knowing how to recognize congruent lines, we have Angles A&H are congruent.

Two line segments are collinear if they lie on a line. Two line segments are congruent when they have equal measures.

Parallel lines are lines in a plane that are always the same distance from each other. Parallel lines never intersect, while perpendicular lines are those that intersect at a right angle (90 degrees).

In this way, we can identify that the only lines that represent a congruent line are lines A and H.

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Answer:

d = C - 2/3

Step-by-step explanation:

Subtract 2/3 from both sides of the equation:

C = d + 2/3

-2/3     -2/3

-----------------

C - 2/3 = d

After rearranging the expression and taking the subject d is d = C - 2/3 or d = (3C-2)/3.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

C=d + 2/3

C - 2/3 = d (subtract both side by 2/3)

or

d = C - 2/3 or

d = (3C-2)/3

Thus, after rearranging the expression and taking the subject d is d = C - 2/3 or d = (3C-2)/3.

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Answer:

9

Step-by-step explanation:

5x - 27 / - 3 = - 6

5x - 27 = - 6 x ( - 3 )

5x - 27 = 18

5x = 18 + 27

5x = 45

x = 45 / 5

x = 9

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<(￣3￣)> the cancel thingy wasn't needed until it's mathematics.

Answer:

[tex]{\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

[tex] \huge\purple{\boxed{\mathfrak{Thanks}}}[/tex]

Answer:

14 sides

Step-by-step explanation:

The sum of all interior angles of a polygon = (n - 2)180°

2160° = (n - 2)180°

[tex]n - 2 = \frac{2160 \degree}{180 \degree} \\ \\ n - 2 = 12 \\ \\ n = 12 + 2 \\ \\ n = 14[/tex]

Hence, the polygon has 14 sides.

Answer:

[tex] 105 \: {m}^{3} [/tex]

Step-by-step explanation:

Volume of swimming pool

[tex] = 1 \frac{1}{2} \times 10 \times 7 \\ \\ = 1.5 \times 70 \\ \\ = 105 \: {m}^{3} [/tex]

Answer: The volume is 105 m3.

Step-by-step explanation:

V= l*w*h

V= 10* 1 1/2* 7

V= 105

Answer: A

Step-by-step explanation:

The answer is letter A..

Answer:

i think its c

Step-by-step explanation:

The hypotenuse = √2 · legs

x = √2 · 5

x = 5√2

Answer:

9;11 is answer

Step-by-step explanation:

number of women=100 - 45 = 55

men; women= 45;55

= 45/55

=9/11

=9;11

Answer:

C) x = 3.7

Step-by-step explanation:

sin 41° = x/5.6

0.6561 = x/5.6

x = 3.7

Answer:

2 one

Step-by-step explanation:

Answer:

Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66

Step-by-step explanation:

H0 : σ² = 2.66²

H1 : σ² < 2.66²

X²c = (n - 1)*s² ÷ σ²

sample size, n = 40

Sample standard deviation, s = 1.9

X²c = ((40 - 1) * 1.9²) ÷ 2.66²

X²c = 140.79 ÷ 7.0756

X²c = 19.897

Using a confidence level of 95%

Degree of freedom, df = n - 1 ; df = 40 - 1 = 39

The critical value using the chi distribution table is 25.6954

Comparing the test statistic with the critical value :

19.897 < 25.6954

Test statistic < Critical value ; Reject the Null

Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66

Answer:

A = a^2 + b^2 = C^2

P = 144 + 25 = C^2

P = 169

square root 169 = 13

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

if the numbers are together

Step-by-step explanation:

63210 is the correct answer friend

hope it helps

Answer:

the answer is =2187

Step-by-step explanation:

hoped I helped:)

Answer:

56,161

Step-by-step Thought Process:

Use the equation: [tex]a(1+r)^x[/tex] to solve this problem. Let x= time in years, a= initial amount, and r= growth rate.

[tex]a(1+r)^x[/tex] =  [tex]51368(1+0.018)^5[/tex]

When you solve you get this number:

56,160.57516085

Round to the nearest whole number:

56,161

Answer: The answer is D

The amount of paper needed to cover the rectangular bulletin board is 1,073 square inches. The correct answer is: D. 1,073 in²

To calculate the amount of paper needed to cover a rectangular bulletin board, we need to find the area of the board.

Given:

Width of the bulletin board = 29 inches

Height of the bulletin board = 37 inches

To find the area, we multiply the width by the height:

Area = Width * Height

Area = 29 inches * 37 inches

Area = 1,073 square inches

Therefore, the amount of paper needed to cover the rectangular bulletin board is 1,073 square inches.

The correct answer is:

D. 1,073 in²

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Answer:

$3.30

Explanation:

15/100 = 0.15

22*0.15 = 3.3

Answer:

Hi! The answer to your question is D. [tex]3.30[/tex]

Step-by-step explanation:

[tex]Price = 22[/tex]

[tex]Discount = 0.15[/tex]

[tex]22 * 0.15 = 3.3[/tex]

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Hope this helps!!

- Brooklynn Deka

Answer:

A.

Hope this helps :D

Answer:

x + 2 y − 9

Step-by-step explanation:

Answer:

x+2y-9

Step-by-step explanation:

[tex]2x+2y-x-(8+1)\\ 2x-x+2y-9\\ x+2y-9[/tex]

The length of the third side is 12 units

From the question, we have the following parameters that can be used in our computation:

A right triangle

This means that we can calculate the third length using the Pythagoras theorem

using the above as a guide, we have the following:

x = √(15² - 9²)

Evaluate the exression

x = 12

Hence, the third length is 12 units

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